Sinuous Meander Patterns in Natural Coordinates

Year: 2012 Authors: David Chappell

Core claim

Adding sine terms to a Whewell equation creates a rich pattern space of periodic and quasi-periodic curves with subtle to dramatic variations.

Topics

natural coordinates, sine-generated curves, pattern generation, meander forms

Domains

intrinsic geometry, numerical integration, curve theory, winding number, generative design, organic patterning, visual aesthetics, curve-based imagery

Methods

Whewell equation, midpoint rule, Simpson’s rule, pixel winding-number coloring

Media

digital plots, color palettes, pixel images, meandering stream sketch

Source status

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